There is a genius recipe for slow poached salmon that uses very little oil.
But, there is really no "healthiest" way to cook fish. That depends on your definition of healthy. I strongly recommend you see a nutritionist or diabetic specialist to get more specific advice for your diet to help manage your diabetes and help you form a long term eating plan vs a short term diet.

steamed fish is great. All you need is a little lemon and salt & pepper. You can steam the vegetables like broccoli or bok choy or spinach. I use a rice cooker to make some brown rice. It has a steamer tray that goes above the rice where you can steam the fish and veggies. Get yourself a bamboo steamer or a rice cooker. I get the tilapia from Whole foods, I don't trust the Chinese tilapia. Make your own salad dressing. the bottled ones have lots of sugar or corn syrup. Good luck and get healthy

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I often cook fish in the oven sealed in a parcel made of parchment paper. Under the fish, you can put slices of lemon, on top herbs (parsley), garlic, a tbsp of olive oil and salt and pepper. close with a stapler and it goes in the oven for 20 minutes (one portion per parcel) at 180 C/350F.
Here I cook a trout but you can use any fish or fish filet:
http://yourguardianchef...

Swai for those unfamiliar with the name, is a Vietnamese catfish. You can cook like any catfish although my New Orleans recipes are probably not diabetic friendly. The parchment (en papiilote) suggestion is a good one.

The American Diabetes Association website would be a good place to start, in terms of basic information about nutrition and cooking. They also have several recipes for lean white fish fillets (Tilapia/Swai can also be subbed for sole, cod, etc.): http://google.diabetes...

I love to cook white fish in the broiler, just set the broiler to the highest setting, drizzle with a little olive oil, and a bit of seasoning salt or a blend of salt, pepper, garlic and fresh herbs. Cook about 5 minutes and serve with lemon wedges. Fast and easy, you can dress it up with chopped olives, tomatoes, or even paint a lil bbq sauce on it, or tater sauce.